Quoting audsnends
Found your article searching for information about over heating Toshiba laptops.
I did it!!! Naturally taking it apart was easy, despite driving all over town to find a torx bit #9, had to settle for a #8. Then dropped one the screws inside, lot of shaking going on as it managed to wedge itself, so had to loosen a couple of screws on the casing to get it out. Cleaning went fine, it was filthy as I have a cat that believes my laptop fan is her own personal heater. And as you mentioned in your article my processor is permanently affixed to the heatsink.
The nerve racking part was after putting everything back together my laptop wouldn't quite start. Opened it again, somehow I'd managed to bend two of the pins. Using a magnifying glass & dental tool to straighten them, and after four more tries adjusting the unit...VOILA!
My laptop is sooo quiet now...should be able to run some programs completely now, thank you!

Terrific, audsnends! I'm happy you were able to get it cleaned out and up & running again. As you discovered, laptops can be tricky business when taking them apart. You did well on your 1st venture into your laptop's innards.
Re: kitty camping out in front of your laptop fan vents, it's very important that all the vents on your laptop are unobstructed. A laptop can overheat very easily because all the electronics are enclosed in such a tight space.
Perhaps a heating pad slid under a towel and atop a pillow would suit kitty even better...

I have kitties, too. (In fact, I'm currently typing one handed while I hold my youngest in my other arm) They've all made it clear who the boss is
not. Kitties being who they are, I suspect the same holds true for you as well. Even so, perhaps the heating pad (in close proximity to you of course) might be a sufficient bribe to get kitty away from your laptop vents.